带有Chaplygin压强的Aw-Rascle交通模型含有狄拉克函数初值的黎曼问题  

The Riemann Problem with Delta Initial Data for the Chaplygin Pressure Aw-Rascle Traffic Model

作　　者：李建业[1] Jianye Li(Fuzhou University, Fuzhou)

机构地区：[1]福州大学,福州

出　　处：《应用数学进展》2013年第3期114-126,共13页Advances in Applied Mathematics

摘　　要：本文研究带有Chaplygin压强的Aw-Rascle交通模型含有狄拉克函数初值的黎曼问题。在广义的Rankine-Hugoniot条件和熵条件下,我们构造性得到四种不同情形下的全局广义解,包括了含有狄拉克激波。In this paper, we solve the Riemann problem with the initial data containing Dirac delta functions for the Chaplygin pressure Aw-Rascle traffic model. With the characteristic analysis, under the suitably generalized Rankine-Hugoniot relation and entropy condition, we constructively obtain the global generalized solutions that explicitly exhibit four kinds of different structures involving delta shock waves.

关 键 词：Aw-Rascle交通模型 广义Rankine-Hugoniot条件 Delta-激波 线性退化 熵条件 

分 类 号：O1[理学—数学]